102448248224 has 36 divisors (see below), whose sum is σ = 234624786354. Its totient is φ = 43906391424.

The previous prime is 102448248211. The next prime is 102448248229. The reversal of 102448248224 is 422842844201.

It can be written as a sum of positive squares in only one way, i.e., 96057844624 + 6390403600 = 309932^2 + 79940^2 .

It is not an unprimeable number, because it can be changed into a prime (102448248229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32666879 + ... + 32670014.

Almost surely, 2^102448248224 is an apocalyptic number.

102448248224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102448248224 is an abundant number, since it is smaller than the sum of its proper divisors (132176538130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102448248224 is an equidigital number, since it uses as much as digits as its factorization.

102448248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65336917 (or 65336902 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 41.

The spelling of 102448248224 in words is "one hundred two billion, four hundred forty-eight million, two hundred forty-eight thousand, two hundred twenty-four".